Well‐Posedness and Long Time Behavior for an Abstract Coupled System of Kirchhoff and Heat Equations
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DOI: 10.1002/mma.11068
Abstract: In this article, we consider a Cauchy problem in a Hilbert space an abstract quasilinear coupled system consisting of Kirchhoff and heat equations, where the coupling is an operator depending on a parameter θ$$ \theta… read more here.
Keywords: system; heat equations; coupled system; well posedness ... See more keywords
On a Coupled System of ψ‐Liouville–Caputo‐Type Fractional Nonlinear Volterra–Fredholm Integro‐Differential Equations With Nonlocal Nonseparated Boundary Conditions
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DOI: 10.1002/mma.11082
Abstract: In this paper, we discuss the existence and uniqueness of solutions for a coupled system of nonlinear generalized Liouville–Caputo fractional Volterra–Fredholm integro‐differential equations with nonlocal nonseparated boundary conditions. The new results are obtained by Krasnosel'skii's,… read more here.
Keywords: differential equations; coupled system; integro differential; fredholm integro ... See more keywords
Characterization of ground states for an M‐coupled system in a bounded domain with critical exponent
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DOI: 10.1002/mma.6429
Abstract: In this paper, we focus on the following M‐coupled system in a bounded domain −Δui+λiui=∑j=1Mκij2qij2*|uj|pij|ui|qij−2ui,y∈Ω,ui∈H01(Ω),i=1,2,…,M, where Ω⊂RN is bounded and pij+qij=2*:=2NN−2(N≥4). By purely variational methods, the existence of ground states to the above system under… read more here.
Keywords: system bounded; ground states; coupled system; bounded domain ... See more keywords
Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations
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DOI: 10.1002/mma.6526
Abstract: The main objective of this research work is to establish existence results as well as to study qualitative aspects of the proposed coupled system of fractional hybrid delay differential equations (FHDDEs). Using the hybrid fixed… read more here.
Keywords: analysis; system fractional; hybrid delay; coupled system ... See more keywords
A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions
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DOI: 10.1002/mma.6711
Abstract: In this paper, we study the coupled system of nonlinear Langevin equations involving Caputo–Hadamard fractional derivative and subject to nonperiodic boundary conditions. The existence, uniqueness, and stability in the sense of Ulam are established for… read more here.
Keywords: system; system nonlinear; coupled system; langevin equations ... See more keywords
Periodic and Almost Periodic Solutions for a Coupled System of Two Korteweg-de Vries Equations with Boundary Forces
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DOI: 10.1007/s00009-018-1191-z
Abstract: In this paper, we investigate a coupled system of two Korteweg-de Vries equations on a bounded domain. We discuss the long-time behavior of this system with forces on the left Dirichlet boundary conditions. We obtain… read more here.
Keywords: periodic almost; system; system two; almost periodic ... See more keywords
Coupled System of Nonlinear Hyperbolic Equations with Variable-Exponents: Global Existence and Stability
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DOI: 10.1007/s00009-020-01589-1
Abstract: In this paper, we consider a coupled system of two nonlinear hyperbolic equations with variable-exponents in the damping and source terms. Under suitable assumptions on the intial data and the variable exponents, we prove a… read more here.
Keywords: variable exponents; equations variable; hyperbolic equations; global existence ... See more keywords
Existence and Asymptotic Behavior of Positive Solutions for a Coupled System of Semilinear Fractional Differential Equations
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DOI: 10.1007/s00025-016-0528-9
Abstract: In this paper, we study a coupled system of semilinear Riemann–Liouville type fractional differential equations. Applying the Schäuder fixed point theorem, we prove the existence of positive solutions of the fractional differential system. Furthermore, the… read more here.
Keywords: system; positive solutions; system semilinear; fractional differential ... See more keywords
A Coupled System of Nonlocal Fractional Differential Equations with Coupled and Uncoupled Slit-Strips-Type Integral Boundary Conditions
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DOI: 10.1007/s10958-017-3528-8
Abstract: The paper deals with with the existence and uniqueness of solutions for a coupled system of fractional differential equations with coupled and uncoupled slit-strips-type integral boundary conditions. The existence and uniqueness of solutions is established… read more here.
Keywords: equations coupled; fractional differential; differential equations; uncoupled slit ... See more keywords
Quantitative properties of ground-states to an M-coupled system with critical exponent in ℝN
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DOI: 10.1007/s11425-016-0464-4
Abstract: AbstractIn this paper, we consider the ground-states of the following M-coupled system: $$\left\{ {\begin{array}{*{20}{c}} { - \Delta {u_i} = \sum\limits_{j = 1}^M {{k_{ij}}\frac{{2{q_{ij}}}}{{2*}}{{\left| {{u_j}} \right|}^{{p_{ij}}}}{{\left| {{u_i}} \right|}^{{q_{ij}} - {2_{{u_i}}}}},x \in {\mathbb{R}^N},} } \\ {{u_i} \in… read more here.
Keywords: quantitative properties; ground; ground states; states coupled ... See more keywords
Introducing the windowed Fourier frames technique for obtaining the approximate solution of the coupled system of differential equations
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DOI: 10.1007/s11868-018-0240-5
Abstract: This paper is devoted to introduce an efficient solver using a combination of the symbol of the operator and the windowed Fourier frames (WFFs) of the coupled system of second order ordinary differential equations. The… read more here.
Keywords: system; windowed fourier; differential equations; fourier frames ... See more keywords